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polet [3.4K]
3 years ago
7

linda thinks of a two digit number. the sum of the digits is 8. if she reverses the digits, the new number is 26 greater than he

r original number.
Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0
<span>Let
x = the 10s digit
y = the units
N1----------> original number
</span>N2----------> new number
<span>N2=N1+36--------- >N2-N1=36
y+x=8------------- > equation (I)
then
10x + y = N1
10y+x=N2

(10y+x)-(10x+y)=36- -----> 9y-9x=36------- > y-x=4----------- > equation (II)

resolving (I) and (II)
</span> y+x=8
 y- x=4<span>
-----------------
2y+0x=12--------------- >y=6
then
x=8-y=8-6=2----------> x=2

N1=26 and N2=62

the two digit number is 26</span>
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